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Finding the Third Proportional to 758.50 and 1,638.50

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Solution

The third proportional to 758.50 and 1,638.50 is: 3,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.50 : 1,638.50 = 1,638.50 : x
  2. Step 2: Convert to fraction form
    758.50/1,638.50 = 1,638.50/x
  3. Step 3: Cross multiply
    758.50x = 1,638.50 × 1,638.50
  4. Step 4: Simplify right side
    758.50x = 2,684,682.25
  5. Step 5: Solve for x
    x = 2,684,682.25/758.50
  6. Step 6: Final answer
    x = 3,539.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.